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Sheila orders two pizzas to divide evenly between herself and five friends - Junior Cycle Mathematics - Question 1 - 2012
Question 1
Sheila orders two pizzas to divide evenly between herself and five friends. (a) What fraction of a pizza will each person get? Write your fraction in its simplest ... show full transcript
Worked Solution & Example Answer:Sheila orders two pizzas to divide evenly between herself and five friends - Junior Cycle Mathematics - Question 1 - 2012
Step 1
What fraction of a pizza will each person get? Write your fraction in its simplest form.
Answer
To find out how much pizza each person gets, we divide the total number of pizzas by the total number of people. There are 2 pizzas and 6 people (Sheila + 5 friends). Therefore, each person gets:
rac{2}{6} = rac{1}{3}
So, each person gets rac{1}{3} of a pizza.
Step 2
One of the friends gets a text and leaves before the pizza is delivered. What fraction will each person now get if the pizzas are divided evenly between those remaining?
Answer
Now there are 5 people left (Sheila + 4 friends). We divide the 2 pizzas by the new total number of people:
rac{2}{5}
Each of the remaining 5 people gets rac{2}{5} of a pizza.
Step 3
Find how much extra pizza each person gets.
Answer
Each person gets rac{2}{5} of a pizza after one friend leaves. The original fraction was rac{1}{3}.
To find how much extra pizza each person gets, we calculate the difference from their initial amount:
rac{2}{5} - rac{1}{3}
To subtract, we need a common denominator, which is 15:
rac{2}{5} = rac{6}{15} rac{1}{3} = rac{5}{15}
Now, performing the subtraction:
rac{6}{15} - rac{5}{15} = rac{1}{15}
Each person gets an extra rac{1}{15} of a pizza.